# A dealer marks his goods 25% above cost price. He then allows some discount on it and makes a profit of 9%.?

Question:conti..The rate of discount is ?
choice..
a)11.4%
b)12.8%
c)13.4%
d)14.2%
e)15.1%

what's he dealing?
I think we should just pretend the goods cost 100\$.

You know the dealer marked up his goods 25% above cost price, so we find x, where x is the dollars 25% above cost which can be written as 125% of the original cost.

x\$ / 100\$ = 125% / 100%
x = 125\$

Now it says he makes a discount and make a profit of 9%.

We know the original cost was 100\$ (we just assumed), so that means the profit would have to be 9% above the original cost otherwise noted as 109% of the original cost.

x\$ / 100\$ = 109% / 100%
x = 109\$

So now we know the discounted price, which is 109\$.

To find the discount rate, you would first find the difference between the mark up price and the discounted price, so 125-109 = 16\$

Then, divide the difference (16\$) by the mark up price (125\$), thus the discount rate is 16\$ / 125\$ = .128

In percentage form .128 x 100% = 12.8%, B
LET THE COST PRICE=100

GOODS ARE MARKED AT 125

HE MAKES A PROFIT OF 9%,

SO SALE PRICE=109

SO DISCOUNT=125-109=16

RATE OF DISCOUNT=16/125*100=12.8%